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Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple
from proveit.numbers import Mult, Neg, five, frac, six, three, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(frac(Neg(two), three), frac(six, Neg(five))), Mult(Neg(frac(two, three)), Neg(frac(six, five))))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\frac{-2}{3} \cdot \frac{6}{-5}, \left(-\frac{2}{3}\right) \cdot \left(-\frac{6}{5}\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple8, 9
6Operationoperator: 22
operands: 10
7Operationoperator: 22
operands: 11
8Operationoperator: 19
operand: 16
9Operationoperator: 19
operand: 17
10ExprTuple14, 25
11ExprTuple26, 15
12ExprTuple16
13ExprTuple17
14Operationoperator: 19
operand: 24
15Operationoperator: 19
operand: 27
16Operationoperator: 22
operands: 21
17Operationoperator: 22
operands: 23
18ExprTuple24
19Literal
20ExprTuple27
21ExprTuple24, 25
22Literal
23ExprTuple26, 27
24Literal
25Literal
26Literal
27Literal